Math Help - equation

1. equation

Can we solve this equation without choices ?

9^x-8^x=3

2. Re: equation

Originally Posted by Mhmh96
Can we solve this equation without choices ?

9^x-8^x=3
Yes , graphically....

3. Re: equation

or use an iterative method, for example...

$x_{n+1}=x_n-\frac{9^{x_n}-8^{x_n}-3}{9^{x_n}\ln 9 -8^{x_n} \ln 8}$

Starting with $x_o=1$

$x_5=1.367251988$
$x_6=1.367251981$

The above uses Newton's method.